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Using the Correlation Dimension to Detect non-linear dynamics

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Abstract

The standardised residuals from GARCH models fitted to three stock indices of the Athens Stock Exchange are examined for evidence of chaotic behaviour. In each case the correlation dimension is calculated for a range of embedding dimensions. The results do not support the hypothesis of chaotic behaviour; it appears that each set of residuals is iid.

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  • Theodore Panagiotidis & David Chappell, 2004. "Using the Correlation Dimension to Detect non-linear dynamics," Discussion Paper Series 2004_17, Department of Economics, Loughborough University, revised Nov 2004.
    • Handle: RePEc:lbo:lbowps:2004_17
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    File URL: http://www.lboro.ac.uk/departments/ec/Reasearchpapers/2004/Long%20version_wp1.pdf
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    1. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "A Single-Blind Controlled Competition Among Tests for Nonlinearity and Chaos," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 581-615, Emerald Group Publishing Limited.
    2. Barnett, William A. & Serletis, Apostolos, 2000. "Martingales, nonlinearity, and chaos," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 703-724, June.
    3. Nicholas Apergis & Sophia Eleptheriou, 2001. "Stock returns and volatility: Evidence from the Athens Stock market index," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 25(1), pages 50-61, March.
    4. John Barkoulas & Nickolaos Travlos, 1998. "Chaos in an emerging capital market? The case of the Athens Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 8(3), pages 231-243.
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    More about this item

    Keywords

    Non-linear Dynamics; Stock Indices; Chaos; Correlation Dimension.;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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